11 february 2019


\[ PGR = \frac{P(t_2) - P(t_1)}{P(t_1)(t_2 - t_1)} \]
Logistic model for Population Growth:
\[ \frac{dN}{dt} = rN(1-\frac{N}{K}) \] It can be integrated, obtaining:
\[ N(t) = \frac{K N_0 e^{-rt}}{K + N_0(e^{-rt}-1)} \]
Where \(N_0\) is the starting number of individuals.
[1] https://en.wikipedia.org/wiki/Toba_catastrophe_theory
[2] https://www.kaggle.com/fernandol/countries-of-the-world
[3] https://data.worldbank.org/
[4] https://www.ecology.com/population-estimates-year-2050/ (early ages)
[5] https://en.wikipedia.org/wiki/Demographic_transition
[6] https://en.wikipedia.org/wiki/Logistic_function
[7] https://en.wikipedia.org/wiki/Projections_of_population_growth
[8] http://www.clker.com/clipart-530947.html (clipart)